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Finding the Fourth Proportional to 196,033.52, 270,525.96 and 119,552.48

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Solution

The fourth proportional to 196,033.52, 270,525.96 and 119,552.48 is: 164,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,033.52 : 270,525.96 = 119,552.48 : x
  2. Step 2: Convert to fraction form
    196,033.52/270,525.96 = 119,552.48/x
  3. Step 3: Cross multiply
    196,033.52x = 270,525.96 × 119,552.48
  4. Step 4: Simplify right side
    196,033.52x = 32,342,049,422.38
  5. Step 5: Solve for x
    x = 32,342,049,422.38/196,033.52
  6. Step 6: Final answer
    x = 164,982.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.